If dye x has a molar absorptivity, ε = 4.50 x 104 cm-1 m-1, at a certain wavelength, what concentration of the dye, in a 1.00 cm cuvette cell will produce an absorbance of 0.417?
For this problem, the working equation should be used from the Beer's Law:
A = ∈lc, where A is the absorbance ∈ is the molar absorptivity l is the length of path of the cuvette diameter C is the concentration of the sample placed inside the cuvette
Substituting the values:
0.417 = (4.50×10⁴ cm⁻¹ M⁻¹)(1 cm)(C) Solving for C: C = 9.27×10⁻⁶ M